Chaotic Evolutionary Programming for an Engineering Optimization Problem

Nirbhow Jap Singh,Vikram Chopra,Shakti Singh,Mohd Asim Aftab,S M Suhail Hussain,Taha Selim Ustun

doi:10.3390/app11062717

Abstract

The aim of the current paper is to present a mimetic algorithm called the chaotic evolutionary programming Powell’s pattern search (CEPPS) algorithm for the solution of the multi-fuel economic load dispatch problem. In the CEPPS algorithm, the exploration process is maintained by chaotic evolutionary programming, whereas exploitation is taken care off by a pattern search. The proposed CEPPS has two variants based on the Gauss map and the tent map. Seven generalized benchmark test functions and six cases of the multi-fuel economic load dispatch problem are considered for the performance analysis. It is observed from the analysis that the CEPPS solution procedure based on the tent map exhibits superiority to obtain an excellent solution and better convergence characteristics than traditional chaotic evolutionary programming. Further, the performance investigation for the considered economic load dispatch shows that the Gauss map CEPPS solution procedure performs better than the tent map based CEPPS to obtain the solution of the multi-fuel economic dispatch problem.

Highlights

The electric power system is a complex engineering system
Chaotic evolutionary programming and pattern search have been proposed as a solution for the economic load dispatch problem of multi-fuel power generators
Computer simulations have been performed on generalized test functions and a load dispatch problem to verify the effectiveness of the chaotic evolutionary programming Powell’s pattern search (CEPPS) variants

Summary

Introduction

The electric power system is a complex engineering system. The planning, operation and control of the interconnected electric power system is a challenging task. Economic load dispatch (ELD) of the power system is one such task, which means planning, scheduling, and operating generators in an economical manner. Since the practical problems are multimodal in nature, the gradient approaches are not suitable for them In this respect, the solution of nonlinear economic dispatch problems has been effectively obtained using random search algorithms irrespective of the shape of the solution hyperspace. The solution of nonlinear economic dispatch problems has been effectively obtained using random search algorithms irrespective of the shape of the solution hyperspace These heuristic methods provide a faster and reasonable solution, these do not ensure a global optimal solution in a finite time. The global optimization algorithms have been extensively used as a solution procedure for ELD problem having a multi-fuel generator

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Conclusion